Pith Number

pith:BRQWZ2NA

pith:2018:BRQWZ2NACX6E3FSQCISYW6KLKV

not attested not anchored not stored refs pending

On the automorphy of 2-dimensional potentially semi-stable deformation rings of $G_{\mathbb{Q}_p}$

Shen-Ning Tung

arxiv:1803.07451 v4 · 2018-03-19 · math.NT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BRQWZ2NACX6E3FSQCISYW6KLKV}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

On the modularity of 2-adic potentially semi-stable deformation rings

Receipt and verification

First computed	2026-07-05T02:24:47.140590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c616ce9a015fc4d965012258b794b554c1ba79c0bf0d16e7d87d3e07b388792

Aliases

arxiv: 1803.07451 · arxiv_version: 1803.07451v4 · doi: 10.48550/arxiv.1803.07451 · pith_short_12: BRQWZ2NACX6E · pith_short_16: BRQWZ2NACX6E3FSQ · pith_short_8: BRQWZ2NA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BRQWZ2NACX6E3FSQCISYW6KLKV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0c616ce9a015fc4d965012258b794b554c1ba79c0bf0d16e7d87d3e07b388792

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fed0c08ebbc03010595f2a0b128aedb103e2e6f3a56e86bb1fd89580382e5a38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-19T15:07:28Z",
    "title_canon_sha256": "f806321b680f544fbbf20f1579decd772918283f50caab4c63ecef0ed96db13c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.07451",
    "kind": "arxiv",
    "version": 4
  }
}